A pizza shop has available toppings of anchovies, mushrooms, bacon, pepperoni, and olives. How many different ways can a pizza be made with 4 toppings?
Question
A pizza shop has available toppings of anchovies, mushrooms, bacon, pepperoni, and olives. How many different ways can a pizza be made with 4 toppings?
Solution
To solve this problem, we can use the combination formula which is C(n, r) = n! / r!(n-r)!.
Here, n is the total number of available toppings, which is 5 (anchovies, mushrooms, bacon, pepperoni, and olives). And r is the number of toppings to be chosen, which is 4.
So, the number of ways to choose 4 toppings out of 5 is C(5, 4) = 5! / 4!(5-4)! = 5.
Therefore, there are 5 different ways a pizza can be made with 4 toppings from the given 5 toppings.
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